Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bc |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-913975871465848832 = -1 · 228 · 237 |
Discriminant |
Eigenvalues |
2- 0 4 -4 -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344908,-90522480] |
[a1,a2,a3,a4,a6] |
Generators |
[266253295520:-17327981108724:61629875] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
6.1561498091446 |
L(r)(E,1)/r! |
Ω |
0.09744499500442 |
Real period |
R |
15.793909704817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33856d1 8464m1 1472i1 |
Quadratic twists by: -4 8 -23 |